What is the Least Common Multiple of 76142 and 76150?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 76142 and 76150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76142 and 76150, than apply into the LCM equation.

GCF(76142,76150) = 2
LCM(76142,76150) = ( 76142 × 76150) / 2
LCM(76142,76150) = 5798213300 / 2
LCM(76142,76150) = 2899106650

Least Common Multiple (LCM) of 76142 and 76150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76142 and 76150. First we will calculate the prime factors of 76142 and 76150.

Prime Factorization of 76142

Prime Factorization of 76150

Now multiplying the highest exponent prime factors to calculate the LCM of 76142 and 76150.

LCM(76142,76150) = 2¹ × 11¹ × 3461¹ × 5² × 1523¹
LCM(76142,76150) = 2899106650